Consider the parabola y = 6x − x2. (a) find the slope of the tangent line to the parabola at the point (1, 5).

Given expression is

And we have to find the slope of the tangent line at the point (1,5), and for that, first we find the derivative of the given expression, which is

And the derivative is the slope. And to find the slope at point (1,5), we put 1 for x in the expression of derivative, that is

Hence, the slope of the tangent line to the parabola at the point (1, 5) is 4.

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )